The sum of two angles is 180 degrees. Their difference is 70 degrees.
What is the measure of the smaller angle?

Step-by-step explanation:

x+y=180

x=180-y(i)

x-y=70(ii)

Now,

Putting the value of x in equation (ii)

x-y=70

(180-y)-y=70

180+2y=70

2y=70-180

2y= - 110

y= - 110/2

y= - 55

Again,

x=180-(-55)

x=235

x-y=70

x-(-55)=70

x+55=70

x=70-55

x=15

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.